Atkin-Lehner |
37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72557b |
Isogeny class |
Conductor |
72557 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19080 |
Modular degree for the optimal curve |
Δ |
72557 = 372 · 53 |
Discriminant |
Eigenvalues |
2 0 -2 -1 3 1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-851,9555] |
[a1,a2,a3,a4,a6] |
Generators |
[98:245:8] |
Generators of the group modulo torsion |
j |
49786195968/53 |
j-invariant |
L |
10.425163789702 |
L(r)(E,1)/r! |
Ω |
2.9065820324366 |
Real period |
R |
3.5867433543134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72557c1 |
Quadratic twists by: 37 |